Some functions related to the derivatives of the L-series of an elliptic curve at s=1

M. J. Razar

Mémoires de la Société Mathématique de France (1980)

  • Volume: 2, page 73-74
  • ISSN: 0249-633X

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Razar, M. J.. "Some functions related to the derivatives of the L-series of an elliptic curve at s=1." Mémoires de la Société Mathématique de France 2 (1980): 73-74. <http://eudml.org/doc/94823>.

@article{Razar1980,
author = {Razar, M. J.},
journal = {Mémoires de la Société Mathématique de France},
keywords = {derivatives of L-series of elliptic curve; Birch-Swinnerton-Dyer conjectures},
language = {eng},
pages = {73-74},
publisher = {Société mathématique de France},
title = {Some functions related to the derivatives of the L-series of an elliptic curve at s=1},
url = {http://eudml.org/doc/94823},
volume = {2},
year = {1980},
}

TY - JOUR
AU - Razar, M. J.
TI - Some functions related to the derivatives of the L-series of an elliptic curve at s=1
JO - Mémoires de la Société Mathématique de France
PY - 1980
PB - Société mathématique de France
VL - 2
SP - 73
EP - 74
LA - eng
KW - derivatives of L-series of elliptic curve; Birch-Swinnerton-Dyer conjectures
UR - http://eudml.org/doc/94823
ER -

References

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  1. [1] B. J. Birch and H.P.F. Swinnerton-Dyer : Notes on elliptic curves II, J. Reine u.angew. Math. vol. 218 (1965) pp. 79-108. Zbl0147.02506MR31 #3419
  2. [2] J. Coates and A. Wiles : On the conjecture of Birch and Swinnerton-Dyer, Inventiones Math. 39 (1977), pp. 223-253. Zbl0359.14009MR57 #3134
  3. [3] D. Goldfeld : The class number of quadratic fields and the conjectures of Birch and Swinnerton-Dyer, Annali Scuola Normale Superiore. Zbl0345.12007
  4. [4] M. J. Razar : The non vanishing of L(1) for certain elliptic curves, American Journal of Math., 96 (1974), pp. 104-126. Zbl0296.14015MR50 #13044a
  5. [5] M. J. Razar : A relation between the two component of the Tate-Safarevic group and L(1) for certain elliptic curves, American Journal of Math. 96 (1974), pp. 127-144. Zbl0296.14016MR50 #13044b
  6. [6] M. J. Razar : The value of the first non vanishing derivative at non positive integers of linear combinations of Dirichlet L-series (preliminary draft). 
  7. [7] N. Stephens : The conjectures of Birch and Swinnerton-Dyer about X3 + Y3 = DZ3. 
  8. [8] A. Weil : Elliptic functions according to Eisenstein and Kronecker Springer Verlag, New York, 1976. Zbl0318.33004MR58 #27769a

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